141859045440 has 1008 divisors, whose sum is σ = 608114916864. Its totient is φ = 31352832000.

The previous prime is 141859045429. The next prime is 141859045453. The reversal of 141859045440 is 44540958141.

141859045440 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 590 + 4 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118116840 + ... + 118118040.

It is an arithmetic number, because the mean of its divisors is an integer number (603288608).

Almost surely, 2^141859045440 is an apocalyptic number.

141859045440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141859045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304057458432).

141859045440 is an abundant number, since it is smaller than the sum of its proper divisors (466255871424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141859045440 is a wasteful number, since it uses less digits than its factorization.

141859045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 141859045440 in words is "one hundred forty-one billion, eight hundred fifty-nine million, forty-five thousand, four hundred forty".